One of the questions on a survey of 100 adults asked if today's children will be better off than their parents (Rasmussen Reports website, October 26, 2012). Representative data are shown in the data file named ChildOutlook: a response of "Yes" indicates that the adult surveyed did think today's children will be better off than their parents, a response of "No" indicates that the adult surveyed did not think today's children will be better off than their parents, and a response of "Not Sure" was given by 23% of the adults surveyed.
What is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents (to two decimals)?
0.24
b. At 95% confidence, what is the margin of error (to two decimals)?
0.0265
What is the 95% confidence interval for the proportion of adults who do think that today's children will be better off than their parents (to two decimals)?
0.214
0.267
What is the 95% confidence interval for the proportion of adults who do not think that today's children will be better off than their parents (to two decimals)?
0.499
0.561
Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? Why?
Part (c)
This is because p is smaller.